A sphere and cone are of same radius and same heights.Find ratios of their curved surface areas
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HEY MATE HERE IS YOUR ANSWER
We know that,
C. S. A of sphere :-
![\boxed = > 4\pi \: { r}^{2} \boxed = > 4\pi \: { r}^{2}](https://tex.z-dn.net/?f=+%5Cboxed+%3D+%26gt%3B+4%5Cpi+%5C%3A+%7B+r%7D%5E%7B2%7D+)
C. S. A of cone :-
![\boxed = > \pi \: rl \boxed = > \pi \: rl](https://tex.z-dn.net/?f=+%5Cboxed+%3D+%26gt%3B+%5Cpi+%5C%3A+rl)
Ratio of their C. S. A
![\huge = > ratio = \frac{c.s.a \: of \: sphere}{c.s.a \: of \: cone} \huge = > ratio = \frac{c.s.a \: of \: sphere}{c.s.a \: of \: cone}](https://tex.z-dn.net/?f=+%5Chuge+%3D+%26gt%3B+ratio+%3D+%5Cfrac%7Bc.s.a+%5C%3A+of+%5C%3A+sphere%7D%7Bc.s.a+%5C%3A+of+%5C%3A+cone%7D+)
![\huge = > ratio = \frac{4\pi \: <br />{r}^{2} }{\pi \: rl} = \huge = > ratio = \frac{4\pi \: <br />{r}^{2} }{\pi \: rl} =](https://tex.z-dn.net/?f=+%5Chuge+%3D+%26gt%3B+ratio+%3D+%5Cfrac%7B4%5Cpi+%5C%3A+%3Cbr+%2F%3E%7Br%7D%5E%7B2%7D+%7D%7B%5Cpi+%5C%3A+rl%7D+%3D+)
Hope it will help you
@thanksforquestion
@bebrainly
We know that,
C. S. A of sphere :-
C. S. A of cone :-
Ratio of their C. S. A
Hope it will help you
@thanksforquestion
@bebrainly
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